1291204800 has 420 divisors, whose sum is σ = 4881911496. Its totient is φ = 335923200.

The previous prime is 1291204711. The next prime is 1291204813. The reversal of 1291204800 is 84021921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31492780 + ... + 31492820.

Almost surely, 2^1291204800 is an apocalyptic number.

1291204800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1291204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440955748).

1291204800 is an abundant number, since it is smaller than the sum of its proper divisors (3590706696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1291204800 is an frugal number, since it uses more digits than its factorization.

1291204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1291204800 is about 35933.3382807665. The cubic root of 1291204800 is about 1088.9260246178.

The spelling of 1291204800 in words is "one billion, two hundred ninety-one million, two hundred four thousand, eight hundred".